SOLUTION: Someone help me please with it. Determine if the equation defines a function (x-4)^2 divide by 4 (minus) (y+3)^2 divide by 9 = 1

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Question 954426: Someone help me please with it. Determine if the equation defines a function
(x-4)^2 divide by 4 (minus) (y+3)^2 divide by 9 = 1

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-4%29%5E2+%2F+4+-%28y%2B3%29%5E2+%2F+9+=+1 -this is a hyperbola
Hyperbolas CAN be functions, but NOT all hyperbolas are functions. The ones that are NOT functions are in the form of x%5E2%2Fa%5E2+-+y%5E2%2Fb%5E2+=+1. Whenever y is squared, you do not have a functions.
The Vertical Line Test is also helpful:
The test states that a graph represents a function if and only if all vertical lines intersect the graph at most once.